On quantum group symmetry and Bethe ansatz for the asymmetric twin spin chain with integrable boundary

@article{Doikou2005OnQG,
  title={On quantum group symmetry and Bethe ansatz for the asymmetric twin spin chain with integrable boundary},
  author={Anastasia Doikou and Paul Purdon Martin},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2005},
  volume={2006},
  pages={P06004 - P06004}
}
  • A. DoikouP. Martin
  • Published 2 March 2005
  • Mathematics
  • Journal of Statistical Mechanics: Theory and Experiment
Motivated by a study of the crossing symmetry of the asymmetric twin or ‘gemini’ representation of the affine Hecke algebra we give a construction for crossing tensor space representations of ordinary Hecke algebras. These representations build solutions to the Yang–Baxter equation satisfying the crossing condition (that is, integrable quantum spin chains). We show that every crossing representation of the Temperley–Lieb algebra appears in this construction, and in particular that this… 

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